| 研究生: |
許秀真 Hsiu-chen Hsu |
|---|---|
| 論文名稱: |
多面塊體系統之運動模擬 Motion Simulations for a System Composed of Polyhedral Blocks |
| 指導教授: |
盛若磐
Jopan Sheng |
| 口試委員: | |
| 學位類別: |
碩士 Master |
| 系所名稱: |
工學院 - 土木工程學系 Department of Civil Engineering |
| 畢業學年度: | 89 |
| 語文別: | 中文 |
| 論文頁數: | 111 |
| 中文關鍵詞: | 多面塊體 、接觸判斷 、Simplex積分法 、臨界時間步程長 |
| 外文關鍵詞: | polyhedron, contact detection, Simplex integrati |
| 相關次數: | 點閱:13 下載:0 |
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本研究可以由程式自動將各種多面體切割成最少個最簡積分單元(四面體),亦可自由控制多面體各佔的百分比與幾何形狀,在空間中自由生成,並利用AutoCAD與PhotoImpact製作動畫軟體展現出塊體的整體運動過程,以利觀察分析。
由程式模擬結果顯示,藉由頂點對面、稜邊對稜邊兩種接觸判斷即能正確判斷出各種形式的接觸型態。由於顯性時間積分法為條件性數值收斂,故時間步程長 須小於一臨界值才能確保數值穩定。本論文針對不同多面體質量與接觸彈簧勁度值進行參數研究,結果顯示可利用 估算臨界時間步程長。
From the results of simulation, it is found that all type of contacts between blocks can be well detected. The mutual reactions among elements are taken account by the relative forces and contact through normal and tangential spring model. The explicit time integration scheme is applied to solve the dynamic equations of each block. The explicit time integration algorithm is only numerically stable if the timestep is less than the critical timestep. Parameter studies of the influence of mass of block and spring stiffness on the estimation of critical timestep are conducted in this thesis.
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